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3 years ago

9

The square pyramid has a volume of 768 cubic inches. The height equals 1/6x and the base is just x. What is the value of x ?

1 answer:

Lunna [17]3 years ago

5 0

The volume for a pyramid is $V= \frac{1}{3} Bh$ , where B is the area of the base and h is the height. We are given the volume, and the base and height in terms of x. Our formula then looks like this: $768= \frac{1}{3} (x)( \frac{1}{6} x)$ . Simplifying the right side we have $768= \frac{1}{18} x^{2}$ . Multiply both sides by 18 to get rid of the fraction and we have $13824= x^{2}$ , so x = 117.575

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Simplify 6c + 4d -c +7d

Nesterboy [21]

So let’s sort out the c:

So 6c - c = 5c

Then let’s sort out the d:

4d + 7d = 11d

So the equation simplified is :

5c + 11d

8 0

3 years ago

At Daria's school 3/8 of students are left handed. If there are 320 students, how many of them are left handed

yKpoI14uk [10]

320/8= 40
40x3= 120
120 students are left handed

4 0

3 years ago

t hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular regio

masha68 [24]

Given:

Required:

To find the probability that the dart land will be in the shaded region.

Explanation:

Area of the circle is given by the formula:

$A=\pi r^2$

Where r = radius

Thus the area of the circular region

$\begin{gathered} =(3.14)\times(2)^2 \\ =3.14\times4 \\ =12.56\text{ square in.} \end{gathered}$

The area of the square is given by the formula:

$=(side)^2$

Thus the area of the given square

$\begin{gathered} =(6)^2 \\ =36\text{ square in.} \end{gathered}$

The probability of an event is given by the formula:

$P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}$

The probability that the dart land will be in the shaded region

$=\frac{Area\text{ of the shaded region}}{Area\text{ of the square}}$

Thus probability

$\begin{gathered} P=\frac{12.56}{36} \\ P=0.3488 \\ P=0.349 \end{gathered}$

Final answer:

Thus the probability that the dart land will be in the shaded region is 0.349.

6 0

1 year ago

Please help<br> 1. f(x)=3(2)^x<br> 2. f(x)=2(3)^x<br> 3. f(x)=3(1/2)^x<br> 4. f(x)=2(1/3)^x

stellarik [79]

Answer:

C. f(x)=3(1/2)^x

Step-by-step explanation:

standard form of a function is f(x)=ab^x

a should be 3, or the y value where the x value is 0

the b value is 1/2 because that's the rate of change

8 0

3 years ago

30. Each interior angle of a regular polygon is 4 times each exterior ang

kifflom [539]

Answer:

(a) the size of each exterior angle 360/10=36

(b) the number of sides of the polygon. 10

Step-by-step explanation:

Each interior angle of a regular polygon is 4 times each exterior angle

∴sum of interior angles: (n-2)*180=4*360

n-2=8

n=10

(a) the size of each exterior angle 360/10=36

(b) the number of sides of the polygon. 10

5 0

3 years ago